Question

Write an equation in points-slope form of the line that passes through (7,-6) and has the slope m= 1/2

Answer 1

Answer:   point-slope form is $(y -y_{1} ) = m(x - x_{1} )$

9.5 -(-6) = 1/2(0-7)

Step-by-step explanation: You can get a y-intercept by substituting the x and y values from the given coordinate into the slope-intercept form and solve for b.

y = mx + b

-6 = 1/2(7) + b

-6 = 3.5 + b

-9.5 = b  Slope-intercept equation for this question would be  y = x/2 - 9.5

Then use the coordinates of the y-intercept to create the point-slope equation

(-9.5 -[-6]) = 1/2(0-7)